[4eyes] FW: [MAT-announce] [ Henry Segerman | MAT - Seminar Series - Friday January 20 . 1pm - ELINGS 1601 ]

[Matthew Turk]

An MAT seminar of interest on Friday at 1pm, about the mathematics of spherical imaging:

 

From: mat-announce-bounces at lists.mat.ucsb.edu [mailto:mat-announce-bounces at lists.mat.ucsb.edu] On Behalf Of mat-announce at lists.mat.ucsb.edu
Sent: Tuesday, January 17, 2017 11:14 AM
To: mat-announce at lists.mat.ucsb.edu
Subject: [MAT-announce] [ Henry Segerman | MAT - Seminar Series - Friday January 20 . 1pm - ELINGS 1601 ]

 



 

Mathematical transformation of spherical images and video 

by

Henry Segerman





|  FRIDAY January 20  |  1:00pm  |  ELINGS 1601  |





______________





Spherical (or "360 degree") still and video cameras capture light from all directions, producing a sphere of image data. What kinds of post-process transformations make sense for spherical photographs and video? We can rotate the sphere, but is there an analogue to zoom in flat video? 

 

By viewing the sphere of image data as the Riemann sphere, we can use complex numbers to describe the positions of the pixels. By scaling the complex plane, we get something like a zoom effect, with which we can make a spherical version of the Droste effect. By applying other complex functions, we can "unwrap" the sphere, producing other Escher-like impossible images and video.

 

The code to generate these effects is written in Python, and much of it is available on GitHub.





______________

 

 

Henry Segerman is a mathematician, working mostly in three-dimensional geometry and topology, and a mathematical artist, working mostly in 3D printing. He is an assistant professor in the Department of Mathematics at Oklahoma State University, and author of the new book "Visualizing Mathematics with 3D Printing”.







-------------- next part --------------
An HTML attachment was scrubbed...
URL: <https://lists.cs.ucsb.edu/pipermail/ilab-users/attachments/20170117/af0fb592/attachment-0001.html>
-------------- next part --------------
A non-text attachment was scrubbed...
Name: image001.jpg
Type: image/jpeg
Size: 81291 bytes
Desc: not available
URL: <https://lists.cs.ucsb.edu/pipermail/ilab-users/attachments/20170117/af0fb592/attachment-0002.jpg>
-------------- next part --------------
A non-text attachment was scrubbed...
Name: image002.jpg
Type: image/jpeg
Size: 51217 bytes
Desc: not available
URL: <https://lists.cs.ucsb.edu/pipermail/ilab-users/attachments/20170117/af0fb592/attachment-0003.jpg>